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Finding the Third Proportional to 3,270 and 6,729

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Solution

The third proportional to 3,270 and 6,729 is: 13,846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270 : 6,729 = 6,729 : x
  2. Step 2: Convert to fraction form
    3,270/6,729 = 6,729/x
  3. Step 3: Cross multiply
    3,270x = 6,729 × 6,729
  4. Step 4: Simplify right side
    3,270x = 45,279,441
  5. Step 5: Solve for x
    x = 45,279,441/3,270
  6. Step 6: Final answer
    x = 13,846.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.